瑞利-泰勒不稳定性在长丝中的作用
The role of Rayleigh-Taylor instabilities in filament threads
摘要：
许多太阳的暗条和双折射显示出与光球层平行的短寿命水平线。在这项工作中，瑞利-泰勒不稳定性和线程寿命之间的可能联系进行了研究。这是通过计算本征模的线程建模为笛卡尔板下存在的重力。利用不可压缩假设推导了磁流体动力学（MHD）扰动的解析色散关系。该系统允许一种始终稳定的模式，与线程中的Alfvén速度值无关。该模式的特征从当磁场较弱时局限于板的上界面，到当磁场较强时具有全局性质并且类似于横向扭结模式。相反，当磁场较弱时，平板模型允许另一种不稳定的模式，并局限于下界面。这种模式的增长率可以非常短，对于典型的线程条件来说，大约是几分钟。这种Rayleigh-Taylor不稳定模随着磁场的增大而变得稳定，在强磁场的极限下，它本质上是一种香肠磁模。重力可能对线程的振荡模式有很大的影响，这取决于阿尔文速度的值。在静态细丝中的线的情况下，其中Alfvén速度大概是低的，根据板模型，预期非常短的寿命。在活动区的不稳定性中，磁张力的稳定作用可能足以在很宽的波长范围内抑制瑞利-泰勒不稳定性。
英文摘要：
Many solar filaments and prominences show short-lived horizontal threads lying parallel to the photosphere. In this work the possible link between Rayleigh-Taylor instabilities and thread lifetimes is investigated. This is done by calculating the eigenmodes of a thread modelled as a Cartesian slab under the presence of gravity. An analytical dispersion relation is derived using the incompressible assumption for the magnetohydrodynamic (MHD) perturbations. The system allows a mode that is always stable, independently of the value of the Alfvén speed in the thread. The character of this mode varies from being localised at the upper interface of the slab when the magnetic field is weak, to having a global nature and resembling the transverse kink mode when the magnetic field is strong. On the contrary, the slab model permits another mode that is unstable and localised at the lower interface when the magnetic field is weak. The growth rates of this mode can be very short, of the order of minutes for typical thread conditions. This Rayleigh-Taylor unstable mode becomes stable when the magnetic field is increased, and in the limit of strong magnetic field it is essentially a sausage magnetic mode. The gravity force might have a strong effect on the modes of oscillation of threads, depending on the value of the Alfvén speed. In the case of threads in quiescent filaments, where the Alfvén speed is presumably low, very short lifetimes are expected according to the slab model. In active region prominences, the stabilising effect of the magnetic tension might be enough to suppress the Rayleigh-Taylor instability for a wide range of wavelengths.
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